We appreciate your visit to 10 g of ice at 0 C is mixed with 100 g of water at 50 C in a calorimeter The final temperature of the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
[tex]\[ \text{Final Temperature} \approx 41.11^\circ \text{C} \].[/tex] The correct answer is not among the options provided.
To find the final temperature of the mixture, we can use the principle of conservation of energy, which states that the heat lost by the hot substance (water) will be equal to the heat gained by the cold substance (ice).
The heat gained by the ice in melting and then reaching the final temperature is given by:
[tex]\[ Q_{\text{ice}} = m_{\text{ice}} \times L_f + m_{\text{ice}} \times c_{\text{ice}} \times \Delta T \][/tex]
where:
- [tex]\( m_{\text{ice}} \)[/tex] is the mass of ice,
-[tex]\( L_f \)[/tex] is the latent heat of fusion,
- [tex]\( c_{\text{ice}} \)[/tex] is the specific heat of ice, and
-[tex]\( \Delta T \)[/tex] is the change in temperature.
The heat lost by the water is given by:
[tex]\[ Q_{\text{water}} = m_{\text{water}} \times c_{\text{water}} \times \Delta T \][/tex]
Setting [tex]\( Q_{\text{ice}} = Q_{\text{water}} \) and solving for \( \Delta T \)[/tex]:
[tex]\[ m_{\text{ice}} \times L_f + m_{\text{ice}} \times c_{\text{ice}} \times \Delta T = m_{\text{water}} \times c_{\text{water}} \times \Delta T \][/tex]
Given values:
[tex]\[ 10 \, \text{g} \times 80 \, \text{cal/g} + 10 \, \text{g} \times 1 \, \text{cal/g}^\circ \text{C} \times \Delta T = 100 \, \text{g} \times 1 \, \text{cal/g}^\circ \text{C} \times \Delta T \][/tex]
Solving for [tex]\( \Delta T \)[/tex]:
[tex]\[ 800 + 10 \times \Delta T = 100 \times \Delta T \][/tex]
[tex]\[ 90 \times \Delta T = 800 \][/tex]
[tex]\[ \Delta T = \frac{800}{90} \][/tex]
[tex]\[ \Delta T \approx 8.89^\circ \text{C} \][/tex]
The final temperature is the initial temperature of the water minus [tex]\( \Delta T \):[/tex]
[tex]\[ \text{Final Temperature} = 50^\circ \text{C} - 8.89^\circ \text{C} \][/tex]
[tex]\[ \text{Final Temperature} \approx 41.11^\circ \text{C} \][/tex]
The question probable maybe:
10g of ice at o°C is mixed with 100g of water at 50°C in a calorimeter. The final temperature of the mixture is [Specific heat of water= 1 cal g¯¹°C-1, latent heat of fusion of ice= 80 cal g¯¹]
A 31.2°C
B 32.8°C
C 36.7°C
D 38.2°C
Thanks for taking the time to read 10 g of ice at 0 C is mixed with 100 g of water at 50 C in a calorimeter The final temperature of the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
