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Multiple Choice
What is the pressure exerted by a 75.0 g sample of N2O confined to a 4.12 L vessel at 298 K, assuming ideal gas behavior? (Molar mass of N2O = 44.01 g/mol, R = 0.0821 L·atm/mol·K)
A
3.00 atm
B
2.25 atm
C
0.75 atm
D
1.50 atm
Verified step by step guidance
1
First, calculate the number of moles of N2O using the formula: \( n = \frac{\text{mass}}{\text{molar mass}} \). Here, the mass is 75.0 g and the molar mass of N2O is 44.01 g/mol.
Substitute the given values into the formula: \( n = \frac{75.0 \text{ g}}{44.01 \text{ g/mol}} \) to find the number of moles of N2O.
Next, use the ideal gas law equation: \( PV = nRT \), where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Rearrange the ideal gas law equation to solve for pressure: \( P = \frac{nRT}{V} \).
Substitute the known values into the equation: \( n \) (calculated moles), \( R = 0.0821 \text{ L·atm/mol·K} \), \( T = 298 \text{ K} \), and \( V = 4.12 \text{ L} \) to find the pressure exerted by the gas.