What is the volume occupied by a gas that has a $1000 \cdot m L$ $1000mL$ at $396 \cdot K$ $396K$ under $2 \cdot a t m$ $2atm$ pressure, that is cooled to $200 \cdot K$ $200K$ , and the pressure decreased to $0.5 \cdot a t m$ $0.5*atm$ ?

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What is the volume occupied by a gas that has a $1000 \cdot m L$ $1000mL$ at $396 \cdot K$ $396K$ under $2 \cdot a t m$ $2atm$ pressure, that is cooled to $200 \cdot K$ $200K$ , and the pressure decreased to $0.5 \cdot a t m$ $0.5*atm$ ?

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Answer 1 · 2017-07-25T15:37:57

$V_{2} ≅ 8000 \cdot m L$ $V_2~=8000*mL$ as required........

Explanation:

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$ $(P_1V_1)/T_1=(P_2V_2)/T_2$ , for a given quantity of gas according to the combined gas law.....

We solve for $V_{2} = \frac{P_{1} V_{1} T_{2}}{P_{2} T_{1}} = ? ? \cdot m L$ $V_2=(P_1V_1T_2)/(P_2T_1)=??*mL$

$\frac{2 \cdot a t m \cdot 1000 \cdot m L \cdot 396 \cdot K}{0.5 \cdot a t m \cdot 200 \cdot K} = ? ? \cdot m L$ $(2*atm*1000*mL*396*K)/(0.5*atm*200*K)=??*mL$ ....

Clearly we get an answer with units of volume as required. Do you agree? And remember $1 \cdot L \equiv 1000 \cdot m L$ $1*L-=1000*mL$ .

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What is the volume occupied by a gas that has a $1000 \cdot m L$ $1000mL$ at $396 \cdot K$ $396K$ under $2 \cdot a t m$ $2atm$ pressure, that is cooled to $200 \cdot K$ $200K$ , and the pressure decreased to $0.5 \cdot a t m$ $0.5*atm$ ?

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What is the volume occupied by a gas that has a 1000⋅mL1000*mL at 396⋅K396*K under 2⋅atm2*atm pressure, that is cooled to 200⋅K200*K, and the pressure decreased to 0.5⋅atm0.5*atm?

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Explanation:

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What is the volume occupied by a gas that has a $1000 \cdot m L$ $1000mL$ at $396 \cdot K$ $396K$ under $2 \cdot a t m$ $2atm$ pressure, that is cooled to $200 \cdot K$ $200K$ , and the pressure decreased to $0.5 \cdot a t m$ $0.5*atm$ ?