The mass of hydrogen and balloon is X kg. Find X.

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7.5

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8.5

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Solution

The correct option is C 8.5
The mass of a body is calculated from the formula, $M a s s = D e n s i t y \times V o l u m e$ .
The volume of the balloon is the volume of hydrogen that will be present in the balloon, that is, $15 m^{3}$ . The density of hydrogen is $0.09 k g / m^{3}$ .
Therefore, the mass of hydrogen in the balloon = $15 \times 0.09 = 1.35 k g .$ The mass of the balloon is given as $7.15 k g$ .
So, mass of hydrogen + mass of the balloon = $1.35 + 7.15 = 8.50 k g = X$
Hence, the value of X is 8.50 kg.

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