Question

calculate the number of moles of xenon gas that occupies a volume of 3.95 l at 58.0°c and 0.985 atm.

p × v = n × r × t

r = 0.0821

a 0.143 mole

b 0.153 mole

c 1.28 mole

d 23.3 mole

Explanation:

Step1: Convert temperature to Kelvin

$$T = 58.0 + 273.15=331.15\ K$$

Step2: Rearrange ideal gas law for moles

From $PV = nRT$, we get $n=\frac{PV}{RT}$.
Substitute $P = 0.985\ atm$, $V = 3.95\ L$, $R=0.0821\ L\cdot atm/(mol\cdot K)$, $T = 331.15\ K$
$$n=\frac{0.985\times3.95}{0.0821\times331.15}$$

Step3: Calculate the value of n

$$n=\frac{3.88075}{27.187415}\approx0.143\ mol$$

Answer:

A. 0.143 mole