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Question

Physics Question on Thermodynamics

A vessel contains 16 g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is:

A

72 × 105

B

32 × 105

C

27 × 104

D

54 × 104

Answer

27 × 104

Explanation

Solution

The correct answer is (C) : 27 × 104
Total number of moles are
n=nH2+nO2n = n_{H_2} + n_{O_2}
=162+12832= \frac{16}{2} + \frac{128}{32}
= 12 moles
Using PV = nRT
V=nRTPV =\frac{nRT}{ P}
=12×8.31×273.15105=\frac{12 × 8.31 × 273.15}{10^5} m3m3
= 0.27 m3
= 27 × 104 cm3