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To find the final temperature, we can use the formula: q = m x c x ΔT, where q is the heat energy, m is the mass of water, c is the specific heat capacity of water, and ΔT is the temperature change. By rearranging the formula and substituting the values, we can find the final temperature to be approximately 39.8°C.
The metal with the lowest thermal capacity.
When hot metal is added into the water then the metal looses its energy into the water and this heat is gained by the water, so the temperature gets increases when hot metal added into it i.e final temperature is greater than initial temperature of water.
To find the final temperature, we need to use the formula: Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. Rearrange the formula to solve for the final temperature, T_f. Given Q = 750 cal, m = 250 g, c = 0.031 cal/g°C, T_initial = 28.0°C, and T_f = ?, we can substitute these values, solve for ΔT, and then find the final temperature T_f = T_initial + ΔT. The final temperature will be 326.76°C.
Final Temperature Initial Temperature Specific Heat Capacity of Calorimeter Plug the values into the equation: q = C( Tf - Ti ) , where C = specific heat, Tf = Final Temperature, and Ti = Initial Temperature.
To find the resulting temperature, you can use the formula Q = mcΔT, where Q is heat energy, m is mass, c is specific heat capacity, and ΔT is the temperature change. Rearrange the formula to solve for ΔT, then rearrange it again to solve for the final temperature by adding the initial temperature. Given Q = 167.2 J, m = 4 g, c = 4.18 J/g°C for water, and T1 = 10°C, you can calculate the resulting temperature by substituting these values into the formula.
q( enthalpy of heat in Joules-energy ) = Mass of steel * heat capacity of steel * ( Temperature final - temperature initial )
E = mass x sp ht x Δ°t (Finding Energy)where E (Energy) or Q (Quantity of Heat), mass (g), sp ht (aka specific heat, J/g°C*[typical] or cal/g°C or kcal/g°C), and Δ°t (temperature change). Finding Temperature ChangeDivide energy by mass multiplied by specific heat. Δ°t = Energy-- Mass * sp htIn order to find the final temperature (if problem is asking for this), add or subtract the original temperature and the new temperature together.Tf = original temperature +/- new temperatureIf energy is added, the temperatures will be added together; if energy is removed, the temperatures will be subtracted.Finding MassDivide energy by specific heat multiplied by temperature change. Mass = Energy------- sp ht * Δ°tFinding Specific HeatDivide energy by mass multiplied by temperature change. Sp ht = Energy------- Mass * Δ°tConverting Form of Energy (joules, kcal, and cal)Sometimes a problem will have E be shown in cal/g°C or kcal/g°C but will be asking for Joules or even vice versa. This means a conversion has to take place. Cal --> Joules and Joules --> cal-Calories (Cal) --> Joules (J)Multiply # cal by 4.184 Joules (J).Conversion Factor# cal x 4.184 J = Joules---------- 1 cal1 cal = 4.184 Joules-Joules (J) --> Calories (Cal)Divide # Joules (J) by 4.184Conversion Factor# J x 1 cal = cal--- 4.184 J1 Joule = 0.239005736 calKcal --> Joules (J) and Joules (J) --> Kcal-Joules --> kcal (Joules --> cal --> kcal)Divide # J by # kcal multiplied by 103Conversion Factor# Joules x 1 cal - * - 1kcal = kcal---------- 4.184J -- 103 cal1 kcal = 4,184 Joules 1 Joule = 0.000239005736 kcal-Kcal --> Joules (J) (Kcal --> cal --> Joules)Multiply # kcal by 103 cal by 4.184JConversion Factor# kcal * 103 cal * 4.184J = Joules (J)----------- 1 kcal --- 1 calAnother relationship that is good to understand: 1 kcal = 1000 (103) cal 1 cal = 0.001 (10-3) kcal
The metal with the lowest thermal capacity.
E = mass x sp ht x Δ°tIn order to calculate the final temperature change, we must also find the temperature change.1. Find the temperature change.Divide joules by (mass x specific heat).Δ°t = 40,000J/500.0g x 4.184J/g°CΔ°t = 19.1°C2. Calculate the final temperature.Tf = 10.0 - 19.1Tf = -9.1°CThere was a decrease in temperature, indicating that it was an endothermic reaction (as energy was removed as stated in the question).
Water is typically used as the standard against which specific heats are measured. The specific heat capacity of water is 1 calorie/gram °C or 4.18 joules/gram °C, which makes it a convenient reference point for comparing the specific heats of other substances.
To find the final temperature, you need to use the formula ( q = mc\Delta T ), where q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. First, calculate the mass of water using the density of water ( \rho = 1g/cm^3 = 1kg/L ) and the volume provided. Then, use the specific heat capacity of water (4.18 J/g°C) to find the temperature change and thus the final temperature.
Do some converting first. 688 calories (4.184 Joules/1 calorie) = 2878.592 Joules 25 ml of water = 25 grams q(Jolules) = mass * specific heat * (Temp. final - Temp. initial) 2878.592 Joules = 25 grams Water * 4.180 J/gC * (Temp Final - 80C ) 2878.592 Joiles = 104.5( Temp. Final) - 8360 11238.592 =104.5(Temp. Final) 107.55 Celsius Final Temperature ( call it 108 C )
When hot metal is added into the water then the metal looses its energy into the water and this heat is gained by the water, so the temperature gets increases when hot metal added into it i.e final temperature is greater than initial temperature of water.
To find the final temperature, we need to use the formula: Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. Rearrange the formula to solve for the final temperature, T_f. Given Q = 750 cal, m = 250 g, c = 0.031 cal/g°C, T_initial = 28.0°C, and T_f = ?, we can substitute these values, solve for ΔT, and then find the final temperature T_f = T_initial + ΔT. The final temperature will be 326.76°C.
The specific heat capacity of water is 4186 joules per kilogram. That is to raise 1kg or 1 litre of water by 1 degree you will need to add 4186 joules of energy. So for 15grams over 25 degrees you will need 4186/1000*15*15 joules.
The current does work (W) on the wire, causing its internal energy (U) to increase. This, in turn, raises the temperature of the wire above its surroundings, so heat transfer (Q) takes place away from the wire. This is summarised as follows:(W - Q) = U = m c (Tf - Ti)where:W = work (joules)Q = heat (joules)m = mass of wire (kilograms)c = specific heat capacity of wire (joules per kilogram kelvin)Tf = final temperature (kelvin)Ti = initial temperature (kelvin)
Final Temperature Initial Temperature Specific Heat Capacity of Calorimeter Plug the values into the equation: q = C( Tf - Ti ) , where C = specific heat, Tf = Final Temperature, and Ti = Initial Temperature.