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Tetragonal crystal system has the follow...

Tetragonal crystal system has the following unit cell dimensions `:`

A

(a) cubic

B

(b) tetragonal

C

(c) monoclinic

D

(d) rhombohedral

Text Solution

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To solve the problem regarding the evaporation of water and the calculation of the heat of vaporization (ΔH) using the given parameters, we can follow these steps: ### Step 1: Calculate the Heat Energy (H) We know that power (P) is equal to heat (H) divided by time (t). Therefore, we can rearrange this formula to find heat: \[ H = P \times t \] Given: - Power (P) = 806 watts - Time (t) = 100 seconds Substituting the values: \[ H = 806 \, \text{W} \times 100 \, \text{s} = 80600 \, \text{J} \] ### Step 2: Calculate the Mass of Water We can calculate the mass of water using the density and volume. The formula for mass (m) is: \[ m = \text{Density} \times \text{Volume} \] Given: - Density of water = 1 g/cm³ - Volume = 36 ml = 36 cm³ (since 1 ml = 1 cm³) Substituting the values: \[ m = 1 \, \text{g/cm}^3 \times 36 \, \text{cm}^3 = 36 \, \text{g} \] ### Step 3: Calculate the Heat of Vaporization (ΔH) The heat of vaporization can be calculated using the formula: \[ \Delta H = \frac{H}{m} \times \text{Molar Mass} \] Where: - H = 80600 J (calculated in Step 1) - m = 36 g (calculated in Step 2) - Molar mass of water = 18 g/mol Substituting the values: \[ \Delta H = \frac{80600 \, \text{J}}{36 \, \text{g}} \times 18 \, \text{g/mol} \] Calculating: \[ \Delta H = \frac{80600}{36} \times 18 \] \[ \Delta H = 2233.33 \times 18 \] \[ \Delta H = 40300 \, \text{J/mol} \] ### Step 4: Convert ΔH to kJ/mol To convert joules to kilojoules, we divide by 1000: \[ \Delta H = \frac{40300 \, \text{J/mol}}{1000} = 40.3 \, \text{kJ/mol} \] ### Final Answer The heat of vaporization (ΔH) of water is **40.3 kJ/mol**. ---
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