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We need to find that final volume when temperature is changed from $100K$to $300K.$

Here we will use charles law becuase pressure and amount of gas do not change .

so let us assume initial volume as $V_1$;

$\frac{V_1}{V_2}=\frac{T_1}{T_2}=\frac{100}{300}鈬�3V_1=V_2$

here $V_2$is final volume ,so volume increased answer is balloon C

We need to select diagram that shows final volume when balloon is placed in a freezer.

Here in this case Charles' law holds that for a given quantity of gas, $V鈭�T$ . The colder the temperature, the smaller the volume. Thus the balloon will contract, as the gas gets colder. So answer is balloon A.

We need to select the diagram for volume of balloon when balloon is first warmed and then returned to its starting temperature

If we increase the temperature of a gas sample, the volume of the container must increase . If the temperature of the gas is decreased, the volume of the container must also decrease when pressure and the amount of gas do not change. So correct answer is B.