1 kg
A text book has a density near 0.09 lb/in3 or 2530 kg/m3.
The mass of a large book can vary depending on its size and number of pages. On average, a large hardcover book might weigh around 1-2 pounds (0.45-0.9 kg).
It has been said that an average middle school text book weighs about 1 kilogram.
To calculate the molality (m) of a solution, you use the formula: ( m = \frac{\text{moles of solute}}{\text{kg of solvent}} ). In this case, with 3 moles of glucose in 6 kg of water, the molality would be ( m = \frac{3 , \text{mol}}{6 , \text{kg}} = 0.5 , \text{mol/kg} ). Therefore, the molality of the solution is 0.5 mol/kg.
Molality (m) is calculated using the formula ( m = \frac{\text{moles of solute}}{\text{mass of solvent in kg}} ). For a solution with 6 moles of CaCl₂ dissolved in 3 kg of water, the molality would be ( m = \frac{6 \text{ mol}}{3 \text{ kg}} = 2 \text{ mol/kg} ). Therefore, the molality of the solution is 2 mol/kg.
To calculate the molality (m) of a solution, use the formula: [ m = \frac{\text{moles of solute}}{\text{mass of solvent (kg)}} ] In this case, there are 6 moles of calcium carbide (CaC₂) and 3 kg of water. Thus, the molality is: [ m = \frac{6 , \text{mol}}{3 , \text{kg}} = 2 , \text{mol/kg} ] Therefore, the molality of the solution is 2 mol/kg.
Molality (m) is calculated using the formula ( m = \frac{\text{moles of solute}}{\text{mass of solvent in kg}} ). In this case, with 6 moles of CaCl₂ dissolved in 3 kg of water, the molality would be ( m = \frac{6 , \text{mol}}{3 , \text{kg}} = 2 , \text{mol/kg} ). Therefore, the molality of the solution is 2 mol/kg.
Molality (m) is calculated using the formula ( m = \frac{\text{moles of solute}}{\text{kg of solvent}} ). In this case, there are 3 moles of glucose and 6 kg of water. Therefore, the molality of the solution is ( m = \frac{3 , \text{mol}}{6 , \text{kg}} = 0.5 , \text{mol/kg} ). Thus, the molality of the solution is 0.5 mol/kg.
Molality (m) is calculated using the formula ( m = \frac{\text{moles of solute}}{\text{mass of solvent in kg}} ). In this case, with 2 moles of NaOH dissolved in 6 kg of water, the molality is ( m = \frac{2 , \text{moles}}{6 , \text{kg}} = \frac{1}{3} , \text{mol/kg} ). Therefore, the molality of the solution is approximately 0.33 mol/kg.
To find the final speed after the collision, we can use the principle of conservation of momentum. The initial momentum of the system is the momentum of Spaceship 2, since Spaceship 1 is at rest: ( p_{initial} = m_2 \times v_2 = 300 , \text{kg} \times 4 , \text{m/s} = 1200 , \text{kg m/s} ). After the collision, the combined mass is ( 300 , \text{kg} + 300 , \text{kg} = 600 , \text{kg} ). Setting the initial momentum equal to the final momentum, we have ( 1200 , \text{kg m/s} = 600 , \text{kg} \times v_{final} ), which gives ( v_{final} = 2 , \text{m/s} ).
To calculate the molality of 0.2 kg of NaCl in 3 kg of water, first determine the number of moles of NaCl by using its molar mass (approximately 58.44 g/mol). Convert 0.2 kg of NaCl to grams (200 g) and calculate the moles: ( \text{moles} = \frac{200 \text{ g}}{58.44 \text{ g/mol}} ). Finally, use the formula for molality, which is moles of solute per kilogram of solvent: ( \text{molality} = \frac{\text{moles of NaCl}}{3 \text{ kg of water}} ).
To find the speed of the truck before the collision, we can use the law of conservation of momentum. The initial momentum of the system (truck + car) before the collision must equal the final momentum after the collision. The equation is: [(m_{truck} \cdot v_{truck}) + (m_{car} \cdot v_{car}) = (m_{truck} + m_{car}) \cdot v_{final}] Given that the car is stationary, (v_{car} = 0), and substituting the known values: [(2600 , \text{kg} \cdot v_{truck}) + (1000 , \text{kg} \cdot 0) = (2600 , \text{kg} + 1000 , \text{kg}) \cdot 8 , \text{m/s}] This simplifies to: [2600 , \text{kg} \cdot v_{truck} = 3600 , \text{kg} \cdot 8 , \text{m/s}] Calculating gives: [2600 , \text{kg} \cdot v_{truck} = 28800 , \text{kg m/s}] Thus, [v_{truck} = \frac{28800 , \text{kg m/s}}{2600 , \text{kg}} \approx 11.08 , \text{m/s}] Therefore, the speed of the truck before the collision was approximately 11.08 m/s.