Multiple choice

If 50g of water at a temperature of 30°C is added to 200g of water at a temperature of 100°C, what will the new temperature of the water be?

  1. 68°C

  2. 80°C

  3. 74°C

  4. 86°C

  5. 92°C
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The final temperature is calculated using the principle of heat exchange: m1*c*(T-T1) = m2*c*(T2-T). With 50g at 30C and 200g at 100C, the equation is 50(T-30) = 200(100-T), which simplifies to T-30 = 400-4T, or 5T = 430, resulting in T = 86C.

AI explanation

Applying the method of mixtures and alligation for temperature, the final temperature equals the weighted average of the initial temperatures based on their masses. This is calculated as 50 g multiplied by 30 degrees Celsius, plus 200 g multiplied by 100 degrees Celsius, with the sum divided by the total mass of 250 g. The calculation yields 86 degrees Celsius.

Keep practicing — related questions