Answer: The pressure will be 1.11atm
Explanation:
V1 = V
P1 = 0.37 atm
V2 = (1/3)V
P2 =?
P1V1 = P2V2
0.37 x V = P2 x (1/3)V
P2 = (0.37 x V) / (1/3)V
P2 = 0.37 x 3 = 1.11atm
The pressure will be 1.11 atm.
Based on the given information,
• A sample of carbon dioxide gas exerts a pressure of 0.37 atm.
• The volume of the gas is reduced to one-third, therefore, let us consider that the initial volume of the gas is V and the final volume of the gas will be V/3.
Now based on ideal gas law,
PV=nRT
• At constant temperature, PV will be constant.
So, P₁V₁ = P₂V₂
Now putting the values we get,
0.37atm×V = P₂×V/3
3×0.37 = P₂
P₂ = 1.11 atm
Thus, when the volume of the gas is reduced to one-third, the pressure of the gas will become 1.11 atm.
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