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If the volume of a gas is recorded as 76cm3 at a temperature of 27°C...

Physics
JAMB 2015

If the volume of a gas is recorded as 76cm3 at a temperature of 27°C with a pressure of 800mmHg. What will be the volume of the gas at S.T.P?

  • A. 36.2cm3
  • B. 25.7cm3
  • C. 72.8cm3
  • D. 24.3cm3
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Correct Answer: Option C
Explanation

Using the general gas laws:
\(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\)
P\(_1\) = 800mmHg, V\(_1\)  = 76cm\(^3\), T\(_1\)  = 273 + 27 = 300k
P\(_2\) = 760mmHg, V\(_2\)  = ? T\(_2\) = 273 + 0 = 273  (@ STP)
\(\frac{800 \times 76}{300} = \frac{760 \times V_2}{273}\)
V\(_2 = \frac{800 \times 76 \times 273}{300 \times 760}\) = 72.8cm\(^3\)
Therefore, the  volume of gas at S.T.P = 72.8 cm\(^3\)

There is an explanation video available below.


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