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Question 11.14: A gas has a volume of 5.7 L at a pressure of 3.2 atm. What i......

A gas has a volume of 5.7 L at a pressure of 3.2 atm. What is its volume at 4.7 atm? (Assume constant temperature.)

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GIVEN:

P_1 = 3.2 atm

V_1 = 5.7 L

P_2 = 4.7 atm

FIND: V_2

RELATIONSHIPS USED

P_1V_1 = P_2V_2 (Boyle’s law, Section11.4)

P_1V_1 = P_2V_2 torr

V_2 =\frac{P_1}{P_2}  V_1\\=\frac{3.2  \cancel{atm}}{4.7  \cancel{atm}}  5.7  L\\= 3.9  L

The units (L) are correct. The value is reasonable because as the pressure increases the volume should decrease.

sol 11.14

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