1) A container holds 0.550 kg of ice at -15.0 ? C . The mass of the container ca
ID: 2252392 • Letter: 1
Question
1) A container holds 0.550kg of ice at -15.0 ?C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800.0 J/min for 500.0 min.
a) After how many minutes does the ice start to melt?
I got 21.66 min, but it says incorrect
2) Calculate the volume of 2.10mol of liquid water at a temperature of 20.0?C (at which its density is 998kg/m3 .) Water has a molar mass of 18.0g/mol .
3) The graph in the figure (Figure 1) shows a pV diagram for 3.50moles of ideal helium (He) gas. Part ca of this process is isothermal.
a) How much heat entered or left the He during segments ab, bc, and ca?
3. A cylinder contains 0.300mol of carbon dioxide (CO2) gas at a temperature of 24.0?C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 1.00atm on the gas. The gas is heated until its temperature increases to 128?C. Assume that the CO2 may be treated as an ideal gas.
a) What is the change in internal energy of the gas?
b) How much heat was supplied to the gas?
Explanation / Answer
1)the mass of ice is m = 0.550 kg
the temperature is T = -15.0 oC
the heat is supplied at rate P = 800.0 J/min = (800.0/60) J/s
the amount of heat needed to melt ice is
Q = m x s x T + m x L
where s is specific heat of ice and L is latent heat of fusion of ice
we know that
P = (Q/t)
or t = (Q/P)
where t is time taken
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