A cylinder of fixed capacity 44.8 litre. contains a monatomic gas… - Vidyadip

MCQ

A cylinder of fixed capacity $44.8$ litre. contains a monatomic gas at standard temperature and pressure. The amount of heat required to cylinder by $10^o C$ will be. ($R=$ universal gas constant)

A
$R$
B
$10R$
C
$20R$
✓
$30R$

✓

Answer

Correct option: D.

$30R$

d
(d) As we know $1$ mol of any ideal gas at $STP$ occupies a volume of $22.4$ litres.

Hence number of moles of gas $\mu = \frac{{44.8}}{{22.4}} = 2$

Since the volume of cylinder is fixed,

Hence ${(\Delta Q)_V} = \mu \omega \;\Delta T$

$ = 2 \times \frac{3}{2}R \times 10 = 30R$

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