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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? 2. when calculating ideal gas laws, which units do volume and temperature need to be? a) c b) v c) l d) ml
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 ideal - gas constant ($R=0.0821\ L\cdot atm/(mol\cdot K)$), and $T$ is temperature.
Step2: Rearrange the formula to solve for $n$
We get $n=\frac{PV}{RT}$.
Step3: Substitute the given values
Given $P = 1.51\ atm$, $V=25.0\ L$, $T = 149\ K$, and $R = 0.0821\ L\cdot atm/(mol\cdot K)$. Then $n=\frac{1.51\ atm\times25.0\ L}{0.0821\ L\cdot atm/(mol\cdot K)\times149\ K}$.
Step4: Calculate the value of $n$
$n=\frac{37.75\ L\cdot atm}{12.2329\ L\cdot atm/mol}\approx3.09\ mol$.
For the second question:
When calculating ideal - gas laws, volume is typically in liters ($L$) and temperature is in Kelvin ($K$).
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- $3.09\ mol$
- C. L