i) Volume of a gas is 1000 cc at STP. What will be the
volume of the gas if the temperature is increased
by 10 K at a constant pressure?
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Answer:
Given —
Temperature increased to 10k
Volume increases by 0.2 %
Let initial Volume be V✔
And initial Temperature is T✔
We have ideal equation
PV = nRT
Since pressure is constant
Here R is also constant
Therefore Ratio will be in proportion
⇒V is proportional to T
⇒V ∝ T
Final Volume =
V + \frac{0.2}{100} V \\ \\ = 1.002V
Final Temperature
= T + 10
___________________________
WE HAVE V ∝ T
\frac{V}{1.002V} = \frac{T}{T + 10} \\ = > T + 10 = 1.002T \\ \\ on \: solving \\ = > T = 5000 K
Explanation:
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