Here, `Delta Q = C_(P) Delta T, Delta U = C_(V)Delta T`
`Delta W = (C_(P) - C_(v)) Delta T = R Delta T`
from `Delta q = Delta U + Delta W` relation
But `C_(P) = ((gamma R)/(gamma - 1))` and `C_(V) = ((R )/(gamma - 1))`
`:. Delta Q : Delta U : Delta W = ((gamma R)/(gamma - 1)) : ((R )/(gamma - 1)): R = gamma : 1 : gamma - 1`
Helium is monatomic, hence its `gamma = 5//3`
`:. Delta Q : Delta U : Delta W = ((5)/(3)) : 1 : ((2)/(3)) = 5 : 3 : 2`
`(Delta U)/(Delta Q) = (3)/(5)` or `Delta U = (3)/(5) xx 15 kJ = 9 kJ`
`(Delta W)/(Delta Q) = (2)/(5)` or `Delta W = (2)/(5) xx 15 kJ = 6 kJ`