A Certain Automobile Tire Has a Volume Of $0.0185 \mathrm {~m} ^ { 3 }$

Multiple Choice

A certain automobile tire has a volume of $0.0185 \mathrm {~m} ^ { 3 }$ If the absolute (or total) pressure in the tire is 500 kPa and the temperature is 298 K, how many molecules are there inside the tire? $( R = 8.31$ $\left. \mathrm { J } / \mathrm { mol } \cdot \mathrm { K } , N _ { \mathrm { A } } = 6.022 \times 10 ^ { 23 } \mathrm { molecules } / \mathrm { mol } \right)$

A) $3.25 \times 10^{24} \text { molecules }$
B) $3.25 \times 10 ^ { 23 } \text { molecules }$
C) $2.25 \times 10^{23} \text { molecules }$
D) $3.25 \times 10^{25} \text { molecules }$
E) $2.25 \times 10^{24} \text { molecules }$