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5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If CV = 28 J K–1 mol–1, calculate U and pV for this process.(R = 8.0 J K–1 mol–1)

(a)

U = 14 kJ;  (pV) = 18 kJ

(b)

U = 2.8 kJ;  (pV) = 0.8 kJ

(c)

U = 14 J; (pV) = 0.8 kJ

(d)

U = 14 kJ;  (pV) = 4 kJ



Question ID - 52524 | SaraNextGen Top Answer

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If CV = 28 J K–1 mol–1, calculate U and pV for this process.(R = 8.0 J K–1 mol–1)

(a)

U = 14 kJ;  (pV) = 18 kJ

(b)

U = 2.8 kJ;  (pV) = 0.8 kJ

(c)

U = 14 J; (pV) = 0.8 kJ

(d)

U = 14 kJ;  (pV) = 4 kJ

1 Answer
127 votes
Answer Key / Explanation : (d) -

ΔU = n cvm­ ΔT=5 28 100

=14kJ

 (PV)=nR(T2−T1)

= 5 × 8 × 100

= 4 kJ

127 votes


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