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{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 combined masses after the collision, we can use the conservation of momentum. The initial momentum of the system is given by the momentum of spaceship 2, since spaceship 1 is at rest: ( p_{initial} = m_2 \cdot v_2 = 200 , \text{kg} \cdot 6 , \text{m/s} = 1200 , \text{kg m/s} ). After the collision, the two spaceships stick together, so their combined mass is ( 200 , \text{kg} + 200 , \text{kg} = 400 , \text{kg} ). Using the conservation of momentum, ( p_{initial} = p_{final} ), we have ( 1200 , \text{kg m/s} = 400 , \text{kg} \cdot v_{final} ), leading to ( v_{final} = 3 , \text{m/s} ).
The momentum of an object is calculated by multiplying its mass by its velocity. For spaceship 1, the momentum is (200 , \text{kg} \times 0 , \text{m/s} = 0 , \text{kg m/s}). For spaceship 2, the momentum is (200 , \text{kg} \times 6 , \text{m/s} = 1200 , \text{kg m/s}). Therefore, the combined momentum after the collision, when they stick together, is (0 + 1200 = 1200 , \text{kg m/s}).