Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

name ______ data table — heat of dissolution salt | nh₄cl | cacl₂ | nac…

Question

name ______
data table — heat of dissolution
salt | nh₄cl | cacl₂ | nacl | naoh
volume of water | | | |
density of h₂o | | | |
mass of h₂o | | | |
mass of salt | | | |
molar mass of salt | | | |
moles of salt | | | |
mass of solution (m) | | | |
initial temperature (t_initial) | | | |
final temperature (t_final) | | | |
temperature change (t_final - t_initial) | | | |
heat of dissolution (q) | | | |
heat of dissolution per mole (q_soln) | | | |
analyze and interpret data
calculate the heat absorbed or heat lost for each salt:
q = mc(final temperature minus start temperature). c_water is 4.18 j/g °c

Explanation:

Response

To calculate the heat absorbed or lost for each salt, we use the formula \( Q = mc\Delta T \), where:

  • \( m \) is the mass of the solution (in grams),
  • \( c \) is the specific heat capacity of water (4.18 J/g°C),
  • \( \Delta T \) is the temperature change (\( T_{\text{final}} - T_{\text{initial}} \), in °C).
Step 1: Determine the mass of the solution (\( m \))

The mass of the solution is the sum of the mass of water and the mass of the salt:
\( m = \text{Mass of } \ce{H2O} + \text{Mass of salt} \)

Step 2: Calculate the temperature change (\( \Delta T \))

Subtract the initial temperature from the final temperature:
\( \Delta T = T_{\text{final}} - T_{\text{initial}} \)

Step 3: Substitute values into the formula \( Q = mc\Delta T \)

For each salt (e.g., \( \ce{NH4Cl} \), \( \ce{CaCl2} \), \( \ce{NaCl} \), \( \ce{NaOH} \)):

  1. Find \( m \) (from Step 1).
  2. Use \( c = 4.18 \, \text{J/g°C} \).
  3. Find \( \Delta T \) (from Step 2).
  4. Multiply \( m \times c \times \Delta T \) to get \( Q \).

For example, if:

  • Mass of \( \ce{H2O} = 100 \, \text{g} \),
  • Mass of salt = \( 10 \, \text{g} \),
  • \( T_{\text{initial}} = 25^\circ\text{C} \),
  • \( T_{\text{final}} = 20^\circ\text{C} \) (for an endothermic process like \( \ce{NH4Cl} \) dissolution):
  1. \( m = 100 + 10 = 110 \, \text{g} \)
  2. \( \Delta T = 20 - 25 = -5^\circ\text{C} \) (negative sign indicates heat absorption)
  3. \( Q = (110 \, \text{g})(4.18 \, \text{J/g°C})(-5^\circ\text{C}) = -2299 \, \text{J} \) (or \( -2.30 \, \text{kJ} \))

Repeat this process for each salt using their respective data to find \( Q \).

Answer:

To calculate the heat absorbed or lost for each salt, we use the formula \( Q = mc\Delta T \), where:

  • \( m \) is the mass of the solution (in grams),
  • \( c \) is the specific heat capacity of water (4.18 J/g°C),
  • \( \Delta T \) is the temperature change (\( T_{\text{final}} - T_{\text{initial}} \), in °C).
Step 1: Determine the mass of the solution (\( m \))

The mass of the solution is the sum of the mass of water and the mass of the salt:
\( m = \text{Mass of } \ce{H2O} + \text{Mass of salt} \)

Step 2: Calculate the temperature change (\( \Delta T \))

Subtract the initial temperature from the final temperature:
\( \Delta T = T_{\text{final}} - T_{\text{initial}} \)

Step 3: Substitute values into the formula \( Q = mc\Delta T \)

For each salt (e.g., \( \ce{NH4Cl} \), \( \ce{CaCl2} \), \( \ce{NaCl} \), \( \ce{NaOH} \)):

  1. Find \( m \) (from Step 1).
  2. Use \( c = 4.18 \, \text{J/g°C} \).
  3. Find \( \Delta T \) (from Step 2).
  4. Multiply \( m \times c \times \Delta T \) to get \( Q \).

For example, if:

  • Mass of \( \ce{H2O} = 100 \, \text{g} \),
  • Mass of salt = \( 10 \, \text{g} \),
  • \( T_{\text{initial}} = 25^\circ\text{C} \),
  • \( T_{\text{final}} = 20^\circ\text{C} \) (for an endothermic process like \( \ce{NH4Cl} \) dissolution):
  1. \( m = 100 + 10 = 110 \, \text{g} \)
  2. \( \Delta T = 20 - 25 = -5^\circ\text{C} \) (negative sign indicates heat absorption)
  3. \( Q = (110 \, \text{g})(4.18 \, \text{J/g°C})(-5^\circ\text{C}) = -2299 \, \text{J} \) (or \( -2.30 \, \text{kJ} \))

Repeat this process for each salt using their respective data to find \( Q \).