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# A sample of nitrogen gas at 2.00 atm and 546K occupies 100 mL. What volume would the sample of nitrogen occupy at STP?109 mL137 mL20.0 mL50.0 mL

A
109 mL
B
50.0 mL
C
137 mL
D
20.0 mL
Solution
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#### Given, Pressure, P1=2atmTemperature, T1=546KVolume , V1=100mLAt STP condition, P2=1atmT2=298KFor ideal gas equation,P1V1T1=P2V2T2⇒2×100546=1×V2298⇒V2=109mL∴ The volume of the sample of nitrogen occupy at STP is 109mL.Thus, the correct option is (A).

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