The Ideal Gas Equation of State expresses volume in terms of temperature and pre

Question

The Ideal Gas Equation of State expresses volume in terms of temperature and pressure, for a gas with total mass m and molecular weight M, by: O V = (m/MP)*RT O V = (M/mP)*RT O V = (mP/M)*RT O V = (MP/m)*RT C None of the above If 397 joules of work is done on a system and 229.4 joules of heat are added to the system, what is the change in internal energy of the system from initial to final state? Please give your answer to the nearest whole number. For example, if your answer is 12.625, please input 13 To input a negative value please use the hyphen followed directly by the number, NO SPACE. Do not use the underscore For example, if your answer is -15.16, please input -15

Explanation / Answer

1. According to ideal gas equation,

PV = nRT

where P= pressure, V = volume

n = number of moles, R = gas constant, T = temperature

V = nRT/P

Number of moles = n = total mass/molar mass = m/M

So, V = (m/M)RT/P= mRT/MP= (m/MP)*RT

First option is correct.

2. Work is done on the system = W = 397 J

Heat added to the system = Q = 229.4 J

Change in internal energy = U = Q - W = 229.4 - 397 = -167.6

Answer is -168 J.

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