Calculate the energy required to heat 1.80 kg of ammonia from 21.5 °C to 41.0 °C. Assume the specific heat capacity of 1 1 ammonia under these conditions is 4.70 J-g''K. Round your answer to 3 significant digits.

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Calculate the energy required to heat 1.80kg of ammonia from 21.5°C to 41.0°C . Assume the specific heat capacity of ammonia under these conditions is ·4.70J·g−1K−1 Round your answer to 3 significant digits.

**Problem Statement:**

Calculate the energy required to heat 1.80 kg of ammonia from 21.5 °C to 41.0 °C. Assume the specific heat capacity of ammonia under these conditions is \( 4.70 \, \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \). Round your answer to 3 significant digits.

**Explanation:**

To solve this problem, you would apply the formula for calculating energy required for heating:

\[
q = m \cdot c \cdot \Delta T
\]

where:
- \( q \) is the heat energy (in joules),
- \( m \) is the mass of the substance (in grams),
- \( c \) is the specific heat capacity (in \(\text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1}\)),
- \( \Delta T \) is the change in temperature (in Kelvin or Celsius since the scale increment is the same for both).

Note: Temperature change \( \Delta T = \text{final temperature} - \text{initial temperature} = 41.0°C - 21.5°C = 19.5°C \).

Make sure to convert the mass from kilograms to grams (1.80 kg = 1800 g) before applying the formula.
Transcribed Image Text:**Problem Statement:** Calculate the energy required to heat 1.80 kg of ammonia from 21.5 °C to 41.0 °C. Assume the specific heat capacity of ammonia under these conditions is \( 4.70 \, \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \). Round your answer to 3 significant digits. **Explanation:** To solve this problem, you would apply the formula for calculating energy required for heating: \[ q = m \cdot c \cdot \Delta T \] where: - \( q \) is the heat energy (in joules), - \( m \) is the mass of the substance (in grams), - \( c \) is the specific heat capacity (in \(\text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1}\)), - \( \Delta T \) is the change in temperature (in Kelvin or Celsius since the scale increment is the same for both). Note: Temperature change \( \Delta T = \text{final temperature} - \text{initial temperature} = 41.0°C - 21.5°C = 19.5°C \). Make sure to convert the mass from kilograms to grams (1.80 kg = 1800 g) before applying the formula.
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