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Multiple Choice
Nitrogen gas is produced in a reaction. If the temperature of the gas is 225.5 K, the pressure is 13.9 MPa, and the volume is 13.0 L, determine the mass of the nitrogen gas in kilograms using the Ideal Gas Law.
A
0.324 kg
B
0.243 kg
C
0.162 kg
D
0.081 kg
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Verified step by step guidance
1
Start by recalling the Ideal Gas Law, which is expressed as: , where is pressure, is volume, is the number of moles, is the ideal gas constant, and is temperature.
Convert the pressure from MPa to Pa for consistency with the ideal gas constant units. Since 1 MPa = 1,000,000 Pa, multiply 13.9 MPa by 1,000,000 to get the pressure in Pa.
Use the Ideal Gas Law to solve for the number of moles . Rearrange the equation to . Substitute the values for , , (8.314 J/mol·K), and into the equation.
Calculate the number of moles using the rearranged Ideal Gas Law equation.
Convert the number of moles to mass. Use the molar mass of nitrogen gas, g/mol, to find the mass in grams. Then, convert the mass from grams to kilograms by dividing by 1,000.