First slide

Thermometry

Question

A glass vessel contains air at 60⁰C. To what temperature must it be heated to expel one third of the air, the pressure remaining constant. (Neglect the expansion of the vessel)

Easy

A

127⁰C
B

226.5⁰C
C

327⁰C
D

427⁰C

Solution

$\large \frac {PV}{mT}=constant;\;Tm=constant;T_1m_1=T_2m_2$
$\large 333(m_1)=T_2\left ( \frac {2m_1}{3} \right )\left [ \because m_2=m_1-\frac {m_1}{3}=\frac {2m_1}{3} \right ]$
$\large T_2=499.5K\Rightarrow t_2=226.5^0C$

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