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A given amount of gas occupies 10.0dm\(^3\) at 4 atm and 273°C. The number of moles...

Chemistry
JAMB 2018

A given amount of gas occupies 10.0dm\(^3\) at 4 atm and 273°C. The number of moles of the gas present is?

[Molar volume of gas at s.t.p = 22.4 dm\(^3\)]

  • A. 0.89 mol
  • B. 1.90 mol
  • C. 3.80 mol
  • D. 5.70 mol
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Correct Answer: Option A
Explanation

Given:

P = 4 atm ,  V = 10 dm\(^3\) ,  n = ?   R = 0.082 (constant)  T = 273 + 273 = 546K

Using the ideal gas law, PV = nRT

                                       n = \(\frac{PV}{RT}\)

                                       n =  \(\frac{{4}\times{10}}{{0.082}\times{546}}\)

                                       n = \(\frac{40}{44.772}\)

                                       n = 0.893 mole

There is an explanation video available below.


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Explanation Video

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