Final answer:
The mass of water required to absorb 4.7 x 10^5 J of energy from a car engine while the temperature increases from 298K to 355K is approximately 21.5 kilograms.
Step-by-step explanation:
To calculate the mass of water required to absorb 4.7 x 10^5 J of energy, we can use the equation:
Q = mcΔT
Since we know the initial and final temperature (298 K and 355 K respectively), we can rearrange the equation to solve for mass:
m = Q / (cΔT)
Plugging in the values, we get:
m = (4.7 x 10^5 J) / (4184 J/kgK * (355 K - 298 K))
Calculating this, we find that the mass of water required is approximately 21.5 kilograms.