A sample of nitrogen gas occupies a volume of 1.000 L at a pressure of

1.	A sample of nitrogen gas occupies a volume of 1.000 L at a pressure of 0.500 atm at 40ºC. Calculate the pressure if the gas is compressed at 225 cm3 at – 6ºC.
Answer» P₁ = 0∙500 atm, P₂ =? V₂ = \(\frac{225}{1000}\) = 0.225 L T₁ - 273 + 40 = 313 K T₂ = 273 + 6 = 267 K By applying ideal gas equation, \(\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\) P₂ = \(\frac{P_1V_1\times T_2}{T_1\times V_2}\) = \(\frac{0.500\times 1\times267}{313\times0.225}\) P₂ = 1.89 atm

A sample of nitrogen gas occupies a volume of 1.000 L at a pressure of 0.500 atm at 40ºC. Calculate the pressure if the gas is compressed at 225 cm3 at – 6ºC.

Answer»

P₁ = 0∙500 atm, P₂ =?

V₂ = \(\frac{225}{1000}\) = 0.225 L

T₁ - 273 + 40 = 313 K

T₂ = 273 + 6 = 267 K

By applying ideal gas equation,

\(\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\)

P₂ = \(\frac{P_1V_1\times T_2}{T_1\times V_2}\)

= \(\frac{0.500\times 1\times267}{313\times0.225}\)

P₂ = 1.89 atm