How many calories of heat are required to raise the temperature of 4 kg of water from 50°F to the boiling point?

Question

Quizplus · Accepted Answer

The specific heat capacity of water is 1 calorie per gram per degree Celsius (or per Kelvin). This means that it takes 1 calorie of heat to raise the temperature of 1 gram of water by 1 degree Celsius (or Kelvin).

To find the total amount of heat required to raise the temperature of 4 kg (or 4000 g) of water from 50°F to the boiling point (212°F), we can use the formula:

Q = m*c*ΔT

where Q is the amount of heat required, m is the mass of the substance (in grams), c is the specific heat capacity of the substance (in calories per gram per degree Celsius), and ΔT is the change in temperature (in degrees Celsius or Kelvin).

First, we need to convert the temperature from Fahrenheit to Celsius:

50°F = (50-32) x 5/9 = 10°C

212°F = (212-32) x 5/9 = 100°C

Next, we can plug in the values:

Q = 4000 g * 1 cal/g°C * (100°C - 10°C) = 360,000 cal

Therefore, the answer is B (3.6 × 10^5).

How Many Calories of Heat Are Required to Raise the Temperature