Question

A mono atomic gas at 17°C is
suddenly compressed to 1/8 of its
original volume. Then its final
temperature is
O
887°C
987°C
88°C​

Answer 1

$\huge \pink{ \underline{ \pink{ \underline{{ \blue{ \bigstar \green{ \mathbb{ANSWERR}}}}}}}}$

$we \: knw \: tht \: \\ PV{}^{ \gamma } = c \\ TV {}^{ \gamma - 1} = c$

$T_{1} V_{1} {}^{ \gamma - 1} = T_{2}V _{2} {}^{ \gamma - 1}$

$300k \times (V) {}^{ \gamma - 1} = xk \times ( \frac{V}{8} ) {}^{ \gamma - 1}$

since

$\gamma for \: monoatomic \: gas \: \\ = \frac{5}{3} \\ \frac{290}{x} = (\frac{1}{8} ) {}^{ \frac{5}{3} - 1 } \\ \frac{290}{x} = (\frac{1}{8}) \frac{2}{3} \\ \frac{290}{x} = \frac{1}{4} \\ x = 290 \times 4 k = 1160 \\ = (1160 - 273) \degree \: C \\ = 887 \degree \: C$

$<marquee direction="right" fcolor="red" width="100%">$hope it helps