A 20.0-L pressure vessel holds 2.00 mol of oxygen at $30 ^ { \circ } \mathrm { C }$ What is the pressure inside the vessel? $( R = 8.31 \mathrm {~J} / \mathrm { mol } \cdot \mathrm { K } )$
A) 1.01 MPa
B) 252 kPa
C) 2.52 MPa
D) 101 kPa
E) 101 Pa

Question

A  20.0-L  pressure vessel holds  2.00 mol of oxygen at $30 ^ { \circ } \mathrm { C }$ What is the pressure inside the vessel? $( R = 8.31 \mathrm {~J} / \mathrm { mol } \cdot \mathrm { K } )$
A)  1.01 MPa
B)  252 kPa
C)  2.52 MPa
D)  101 kPa
E)  101 Pa

Quizplus · Accepted Answer

Using the ideal gas law $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is moles, $R$ is the gas constant, and $T$ is temperature in Kelvin. Convert $30^\circ C$ to Kelvin (303 K), and solve for $P$: $P = \frac{nRT}{V} = \frac{2 \times 8.31 \times 303}{20} = 252 \, \text{kPa}$.

A 200-L Pressure Vessel Holds 2 30∘C30 ^ { \circ } \mathrm { C }30∘C

A 200-L Pressure Vessel Holds 2 $30 ^ { \circ } \mathrm { C }$