C) A cylinder contains 0.040 m3 of N2 at a pressure of 2.0 MPa. When the gas is allowed to escape it expands until it reaches atmospheric pressure of 100 KPa. What volume does the gas occupy after expanding?

1 Answer
Jul 12, 2018

#V_2 = 0.8m^3#

Explanation:

#P_1V_1 = P_2V_2#

#P_1 = 2.0 MPa = 2×10^6Pa#

#P_2 = 100 KPa = 100 xx 10^3Pa#

#V_1 = 0.040 m^3#

#V_2 = xm^3#

Plugging in the values;

#2×10^6 xx 0.04 = 100 xx 10^3 xx x#

#8 xx 10^4 = 1 xx 10^5x#

#x = (8 xx 10^4)/(1 xx 10^5)#

#x = 0.8#

Therefore;

#V_2 = 0.8m^3#