Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Using the Ideal Gas Law, calculate the pressure in atmospheres if 0.00255 mol of gas occupies 413 mL at 138 °C. Assume R = 0.0821 L·atm/mol·K.
A
0.152 atm
B
0.245 atm
C
0.310 atm
D
0.098 atm
Verified step by step guidance
1
Convert the volume from milliliters to liters by dividing 413 mL by 1000, since there are 1000 mL in a liter.
Convert the temperature from degrees Celsius to Kelvin by adding 273.15 to the Celsius temperature. This is necessary because the Ideal Gas Law requires temperature in Kelvin.
Use the Ideal Gas Law equation, \( PV = nRT \), where \( P \) is the pressure in atmospheres, \( V \) is the volume in liters, \( n \) is the number of moles, \( R \) is the ideal gas constant (0.0821 L·atm/mol·K), and \( T \) is the temperature in Kelvin.
Rearrange the Ideal Gas Law equation to solve for pressure \( P \): \( P = \frac{nRT}{V} \).
Substitute the values for \( n \) (0.00255 mol), \( R \) (0.0821 L·atm/mol·K), \( T \) (temperature in Kelvin), and \( V \) (volume in liters) into the equation to calculate the pressure.