A certain gas occupies 200 ml of volume at 2 bar pressure at hundred degrees Kelvin. How much volume does it occupy at 5 bar pressure and 200 degrees Kelvin?

Question

A certain gas occupies 200 ml of volume at 2 bar pressure at hundred degrees Kelvin. How much volume does it occupy at 5 bar pressure and 200 degrees Kelvin?

1 Answer

jigoyi · Answer 1 · 2024-11-15T17:04:42+0000

This question can be solved using the Combined Gas Law, which relates pressure ( $P$ ), volume ( $V$ ), and temperature ( $T$ ) for a given amount of gas:

$P1V1T1=P2V2T2\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$

Given Data:

$barP_1 = 2 \, \text{bar}$
$mlV_1 = 200 \, \text{ml}$
$KT_1 = 100 \, \text{K}$
$barP_2 = 5 \, \text{bar}$
$KT_2 = 200 \, \text{K}$
$V_2 = ?$

Substituting into the formula:

$2⋅200100=5⋅V2200\frac{2 \cdot 200}{100} = \frac{5 \cdot V_2}{200}$

Simplify:

$400100=5V2200\frac{400}{100} = \frac{5V_2}{200}$ $\frac{5V_2}{200}$

Solve for $V_2$ :

$mlV_2 = \frac{4 \cdot 200}{5} = 160 \, \text{ml}$

Final Answer:

(b) 160 ml

A certain gas occupies 200 ml of volume at 2 bar pressure at hundred degrees Kelvin. How much volume does it occupy at 5 bar pressure and 200 degrees Kelvin?

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1 Answer

Given Data:

Substituting into the formula:

Final Answer:

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