Gas in a container is at a pressure of 1.3 atm and a volume of 3.0 m 3 . (a) Wha
ID: 1748196 • Letter: G
Question
Gas in a container is at a pressure of 1.3 atm and a volume of 3.0 m3. (a) What is the work done on the gas if itexpands at constant pressure to twice its initial volume?J
(b) What is the work done on the gas if it iscompressed at constant pressure to one-quarter its initialvolume?
J (a) What is the work done on the gas if itexpands at constant pressure to twice its initial volume?
J
(b) What is the work done on the gas if it iscompressed at constant pressure to one-quarter its initialvolume?
J
Explanation / Answer
given pressure P = 1.3 atm = 1.3 * 101.3 * 10 ^ 3 Pa volume V = 3.0 m3(a) the work done on the gas if it expands atconstant pressure to twice its initial volume W = P dV W = P ( V ' - V ) from problem V ' = 2V So, W = P V =395.07 * 10 ^ 3 J (b). the work done on the gas ifit compressed at constant pressure to one quarter itsinitial volume W = P dV W = P ( V ' - V ) from problem V ' = V / 4 So, W = P ( -3V /4 ) = 296.3 * 10 ^ 3 J W = P ( V ' - V ) from problem V ' = V / 4 So, W = P ( -3V /4 ) = 296.3 * 10 ^ 3 J
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