A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by 30oC . How much heat is added approximately to helium during expansion?

Question

A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by 30oC . How much heat is added approximately to helium during expansion? (A) 4000 J (B) 3000 J (C) 3500 J (D) 4500 J

Tardigrade Admin · Accepted Answer

Heat added to helium during expansion H=nCVΔ T=8× (3/2)R× 30 ( CVfor text monoatomic text gas=(3/2)R ) =360R =360× 8.31 text J (R = 8.31 J/mol-K) ≈ 3000 text J

Q. A bubble of $8$ mole of helium is submerged at a certain depth in water. The temperature of water increases by $30^{o} C$ . How much heat is added approximately to helium during expansion?

4000 J

3000 J

3500 J

4500 J

5000J

Heat added to helium during expansion
$H = n C_{V} Δ T = 8 \times \frac{3}{2} R \times 30$
$(C_{V} f or m o n o a t o mi c g a s = \frac{3}{2} R)$
$= 360 R$
$= 360 \times 8.31 J$ (R = 8.31 J/mol-K) $\approx 3000 J$

Q. A bubble of 8 mole of helium is submerged at a certain depth in water. The temperature of water increases by 30oC . How much heat is added approximately to helium during expansion?