Question

a 25.0 l tank contains hydrogen (h₂) gas at a temperature of 149 k and a pressure of 1.51 atm. how many moles of hydrogen gas is in the tank? 8) what is the variable for pressure? 3.09mol 9) what is the variable of volume? v this should be a measurement. not a symbol or abbreviation. 10) what is the variable for the universal gas constant? r this should be a measurement. not a symbol or abbreviation. 11) what is the variable for temperature? t

Explanation:

Step1: Identify the ideal - gas law formula

The ideal - gas law is $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $R$ is the universal gas constant, and $T$ is temperature. We want to solve for $n$, so $n=\frac{PV}{RT}$.

Step2: Determine the values of $P$, $V$, $R$, and $T$

Given $P = 1.51\ atm$, $V=25.0\ L$, $T = 149\ K$, and the universal gas constant $R = 0.0821\ \frac{L\cdot atm}{mol\cdot K}$.

Step3: Substitute the values into the formula

$n=\frac{1.51\ atm\times25.0\ L}{0.0821\ \frac{L\cdot atm}{mol\cdot K}\times149\ K}$.

Step4: Calculate the number of moles

First, calculate the numerator: $1.51\times25.0 = 37.75\ L\cdot atm$.
Then, calculate the denominator: $0.0821\times149=12.2329\ \frac{L\cdot atm}{mol}$.
Finally, $n=\frac{37.75\ L\cdot atm}{12.2329\ \frac{L\cdot atm}{mol}}\approx3.09\ mol$.

Answer:

3.09 mol