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Calculate the molar volume of an ideal gas when the pressure is 0.250 atm and the temperature is 298 K.

A. 97.8 L/mol
B. 89.6 L/mol
C. 5.60 L/mol
D. 0.0102 L/mol
E. 22.4 L/mol

Answer :

The molar volume of an ideal gas is calculated using the ideal gas law equation PV = nRT. The molar volume can be found by rearranging the equation and plugging in the values for pressure, temperature, and the ideal gas constant.

The molar volume of an ideal gas can be calculated using 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.

Convert the pressure from atm to kPa: 0.250 atm * 101.325 kPa/atm = 25.32 kPa.

Convert the temperature from Celsius to Kelvin: 298 K = 25 °C + 273.15.

Substitute the values into the ideal gas law equation and solve for V: V = (nRT)/P.

Since we are given that there is one mole of gas (n = 1), we can use the simplified equation: V = (RT)/P.

Substitute the values for R, T, and P, and calculate V.

Using the given values, the molar volume of the ideal gas is approximately 22.4 L/mol.

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