Thermodynamics internal energy Problem

AI Thread Summary
The problem involves calculating the increase in internal energy of water transitioning from liquid to vapor at one atmosphere, with a volume change from 0.9 cm³ to 2387 cm³. The latent heat of vaporization for water is given as 2.26 × 10^6 J/kg. The user initially calculated the energy using the formula Q = mL, resulting in 13500 J, but received feedback that this was incorrect. It was suggested that the user may need to adjust their calculations or consider additional factors affecting internal energy. The correct approach requires careful consideration of both heat transfer and work done during the phase change.
liamtcarroll
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Six grams of water changes from liquid to
vapor at a pressure of one atmosphere. In the
process, the volume changes from 0.9 cm^3
to2387 cm^3. The latent heat of vaporization of
water is 2.26 × 10^6 J/kg

Find the increase in internal energy of the
water.
Answer in units of J

When i did this i did Q=mL. I got 13500J to be my answer and the program I'm using said it was wrong
 
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I answered it myself i had to subtract my work from my answer
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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