A cube of aluminum has an edge length of 20 cm. Aluminum has a density 2.7 times that of water (1 g/cm3) and a specific heat 0.217 times that of water (1 cal/g · C◦). When the internal energy of the cube increases by 47000 cal its temperature increases

A perfectly insulated, sealed chamber has a fixed volume of 25.4 m³, and is filled with an ideal monatomic gas. This monatomic gas has a temperature of 25 °C and a pressure of 1.26 × 105 Pa. A 1.00 kg block of ice at its melting point is placed within the chamber, after which the chamber is immediately sealed again. The latent heat of fusion Lf of water is 3.34 × 105 J/kg and the specific heat c of water is 4186 J/kg.K. What is the equilibrium temperature Teq?

A rigid tank is divided into two rooms, both containing water, by a membrane. Room A is at 200 kPa, v = 0.5 m3/kg, VA = 1 m3, and room B contains 3.5 kg at 0.5 MPa, 400ºC. The membrane now ruptures and heat transfer takes place so that the water comes to a uniform state a 100ºC. Find the heat transfer during the process.

A canister with a piston contains 1.05 kg of air at 30.0°C and 1.25 x 105 Pa. Energy is transferred by heat into the system as it expands and the pressure rises to 4.25 x 105 Pa. Throughout the expansion, the relationship between pressure and volume is given by P = cv1/2) where C is a constant. Air may be modeled as a diatomic ideal gas with a molar mass of M = 28.9 g/mol. Determine the following. (a) initial volume (in m3) 0.01477 The ideal gas law may be used to describe the air in any state, Since we want the initial volume, we should use the pressure and temperature for the initial state. How can you determine the number of moles of air from the total mass and the molar mass? m3 (b) final volume (in m) m3 (c) final temperature (in K) K (d) work done on the air (in J) (e) energy transferred by heat (Enter the magnitude in MJ.) MJ