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Question

What is the gas pressure within a cylinder if there is 5.0g of CO2 gas in a 10L cylinder at 250C inside it.


A

Two times that of a hydrogen molecule

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B

Same as that of a hydrogen molecule

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C

Four times that of a hydrogen molecule

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D

Half that of a hydrogen molecule

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Solution

The correct option is B

Same as that of a hydrogen molecule


The measure of CO2 has been presented in grams but to apply the ideal gas law, we must convert the quantity into moles. For that reason, one must initially convert grams of CO2 to moles, and then use this value in the ideal gas law.

To convert into moles from grams we use 1 mol CO2 = 44g as the conversion factor.

Therefore 5.0g of CO2 will be = 0.11 moles of CO2

To solve for the pressure of the gas, we now use this value in the ideal gas equation.

Ideal Gas Law Formula:

P=nRTV

P=0.11×298×0.082110

P = 0.27atm


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