1. An insulated cylinder contains an ideal gas. The initial volume, pressure and temperature of the gas are 3.20 x 10ª m², 1.01 x 10³ Pa and 320 K respectively. Assume that there is no heat transferred through the piston. a) Calculate the number of moles of the gas. [1.22 x 10* mol] b) The gas is compressed until its volume becomes 4.50 x 105 m³ and the temperature becomes 750 K. Calculate the final pressure of the gas. [1.69 x 10 Pa] c) The work done on the gas is 120 J. Calculate the increase in the internal energy of the gas. [120 J]

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1. An insulated cylinder contains an ideal gas. The initial volume, pressure and
temperature of the gas are 3.20 x 104 m², 1.01 x 10° Pa and 320 K respectively.
Assume that there is no heat transferred through the piston.
a) Calculate the number of moles of the gas. [1.22 x 10* mol]
b) The gas is compressed until its volume becomes 4.50 x 10-5 m³ and the temperature
becomes 750 K. Calculate the final pressure of the gas. [1.69 x 10 Pa]
c) The work done on the gas is 120 J. Calculate the increase in the internal energy of
the gas. [120 J]
Transcribed Image Text:1. An insulated cylinder contains an ideal gas. The initial volume, pressure and temperature of the gas are 3.20 x 104 m², 1.01 x 10° Pa and 320 K respectively. Assume that there is no heat transferred through the piston. a) Calculate the number of moles of the gas. [1.22 x 10* mol] b) The gas is compressed until its volume becomes 4.50 x 10-5 m³ and the temperature becomes 750 K. Calculate the final pressure of the gas. [1.69 x 10 Pa] c) The work done on the gas is 120 J. Calculate the increase in the internal energy of the gas. [120 J]
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