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Relationship between Temperature, Pressure and Volume

What is the v...

Question

What is the volume occupied, in litres, by one mole of an ideal gas at 400K and 3 atm pressure?

Given that the universal gas constant R has a value of $0.082 l i t r e a t m m o l^{- 1} K^{- 1}$ .

9.5

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10.33

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10.93

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11.5

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Solution

The correct option is C 10.93
To solve this equation, we have to use the ideal gas equation, which can be written as $P V = n R T$ where P, V, n, R and T refer to pressure, volume, number of moles of the gas, universal gas constant and temperature (in kelvin) respectively.

Putting in the values from the question,

$3. V = 1 (0.082) 400$
$o r V = 10.93 l i t r e s$

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