How much of heat is needed to warm 500 g of water from 25 °C near to its boiling point of 99°C? The specific heat of capacity is 4.18J/g-k.

2.10 X10 squared J

1.55 X 10 to the power of 5 J

67.9 J

52.3 J

1 answer

The correct answer is 1.55 x 10^5 J.

To calculate the amount of heat needed, we need to use the formula:

Q = m * c * ΔT

where Q is the amount of heat, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.

In this case, we have:

m = 500 g
c = 4.18 J/g-K
ΔT = (99°C - 25°C) = 74°C

Plugging in these values, we get:

Q = 500 g * 4.18 J/g-K * 74°C
Q = 155,340 J
Q ≈ 1.55 x 10^5 J

Therefore, we need 1.55 x 10^5 J of heat to warm 500 g of water from 25°C to its boiling point of 99°C.