Question

In: Chemistry

A 147-g sample of steam at 100 ∘C is emitted from a volcano. It condenses, cools,...

A 147-g sample of steam at 100 ∘C is emitted from a volcano. It condenses, cools, and falls as snow at 0 ∘C. (For water, 80. cal (334 J) is needed to melt 1 g of ice or must be removed to freeze 1 g of water and 540 cal (2260 J) is needed to convert 1 g of water to vapor at 100 ∘C.) Part A How many kilojoules of heat were released?

Expert Solution

Answer – We are given, mass of sample steam = 147 g , ti = 100^oC, tf = 0.0^oC

∆Hfus = 334 J/g , ∆Hvap = 2260 J/g

We know

Heat from the 100^oC to 100^oC

q1 = m*∆H vap

= 147.0 g * 2260 J/g

= - 332220 J

Heat from the 100.0^oC to 0.0^oC

q2 = m*C liq* ∆t

= 147.0 g * 4.184 J/g^oC * (0.0^oC –100.0^oC)

= - 61505 J

Heat from 0.0^oC to 0.00^oC

q3 = m*∆H fus

= 147.0 g * 334 J/g

= - 49098 J

Total heat q = q1+ q2+q3

= -332220 J -61505 J - 49098

= 442823 J

= 442.8 kJ

So, - 442.8 kJ heat were released

queen_honey_blossom answered 2 years ago

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