The volume of a gas decreases from 500 cc to 300 cc when a sample of gas is compressed by an average pressure of 0.6 atm. During this process, 10 J of heat is liberated. The change in internal energy is:

Question

The volume of a gas decreases from 500 cc to 300 cc when a sample of gas is compressed by an average pressure of 0.6 atm. During this process, 10 J of heat is liberated. The change in internal energy is: (A) -2.16 J (B) 12.156 J (C) 2.16 J (D) 101.3 J

Tardigrade Admin · Accepted Answer

P Δ V =0.6 × ((500-300)/1000)=0.6 × 0.2=0.12 L - atm =0.12 × 101.3=12.16 J ∴ Δ E = q + P Δ V ∴ Δ E =-10+12.16=2.16 J

Q. The volume of a gas decreases from $500 cc$ to $300 cc$ when a sample of gas is compressed by an average pressure of 0.6 atm. During this process, $10 J$ of heat is liberated. The change in internal energy is:

-2.16 J

12.156 J

2.16 J

101.3 J

$P Δ V = 0.6 \times \frac{( 500 - 300 )}{1000} = 0.6 \times 0.2 = 0.12 L - a t m$

$= 0.12 \times 101.3 = 12.16 J$

$∴ Δ E = q + P Δ V$

$∴ Δ E = - 10 + 12.16 = 2.16 J$

Q. The volume of a gas decreases from 500cc to 300cc when a sample of gas is compressed by an average pressure of 0.6 atm. During this process, 10J of heat is liberated. The change in internal energy is: