The total mass of the sun

The total mass of the Sun is about 2 ×1030 kg, of which about 75% was hydrogen when the Sun formed. Only about 11% of this hydrogen ever becomes available for fusion in the core (the rest is in the layers of the Sun where the temperature is too low for fusion). 

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a. Calculate the total mass oAstrof hydrogen available for fusion over the lifetime of the Sun

b. The Sun radiates 4 × 1026 joules per second (= watts). How much of the Sun’s hydrogen (in kg) is converted to energy each second? How long will the Sun’s initial supply of available hydrogen last, in years? (c=3 ×108 m/sec, and 1 year = 3.16 ×107 seconds).

c. Given that our Solar System is now about 4.6 billion years old, when will we need to worry about the Sun running out of hydrogen for fusion?

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