Questions: Calculate the heat required to raise the temperature of 28.6 g of sodium from 33.7°C to 73.8°C. The specific heat capacity of sodium is 1.23 J /(g · °C). 1.41 x 10^3 J 932 J 1.19 x 10^3 J 2.60 x 10^3 J

Calculate the heat required to raise the temperature of 28.6 g of sodium from 33.7°C to 73.8°C. The specific heat capacity of sodium is 1.23 J /(g · °C). 1.41 x 10^3 J 932 J 1.19 x 10^3 J 2.60 x 10^3 J
Transcript text: Calculate the heat required to raise the temperature of 28.6 g of sodium from $33.7^{\circ} \mathrm{C}$ to $73.8^{\circ} \mathrm{C}$. The specific heat capacity of sodium is $1.23 \mathrm{~J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)$. $1.41 \times 10^{3} \mathrm{~J}$ 932 J $1.19 \times 10^{3} \mathrm{~J}$ $2.60 \times 10^{3} \mathrm{~J}$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Given Values

We are given:

  • Mass of sodium, \( m = 28.6 \, \text{g} \)
  • Initial temperature, \( T_i = 33.7^\circ \text{C} \)
  • Final temperature, \( T_f = 73.8^\circ \text{C} \)
  • Specific heat capacity of sodium, \( c = 1.23 \, \text{J/g} \cdot {}^\circ \text{C} \)
Step 2: Calculate the Temperature Change

The change in temperature, \(\Delta T\), is calculated as: \[ \Delta T = T_f - T_i = 73.8^\circ \text{C} - 33.7^\circ \text{C} = 40.1^\circ \text{C} \]

Step 3: Use the Heat Formula

The formula to calculate the heat required is: \[ q = m \cdot c \cdot \Delta T \] Substituting the given values: \[ q = 28.6 \, \text{g} \cdot 1.23 \, \text{J/g} \cdot {}^\circ \text{C} \cdot 40.1^\circ \text{C} \]

Step 4: Perform the Calculation

Calculate the heat required: \[ q = 28.6 \times 1.23 \times 40.1 = 1410.1 \, \text{J} \]

Final Answer

The heat required to raise the temperature of 28.6 g of sodium from \(33.7^\circ \text{C}\) to \(73.8^\circ \text{C}\) is \(\boxed{1.41 \times 10^3 \, \text{J}}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Laura took out a 9000 loan for 7 months and was charged simple interest. The total interest she paid on the loan was 336. As a percentage, what was the annual interest rate of Laura's loan? Do not round any intermediate computations. If necessary, refer to the list of financial formulas.
failedAnswered
Determine the domain and range for the relation in interval notation.
failedAnswered
Simplify completely, assuming both x>0 and y>0: sqrt(49 x^3 y^5)
failedAnswered
Identifiers Rules for identifiers A name created by a programmer for an item like a variable or method is called an identifier. An identifier must: - be a sequence of letters (a-z, A-Z), underscore (-), dollar signs (), and digits (0-9) - start with a letter, underscore, or dollar sign Note that "-", called an underscore, and "", called a dollar sign or currency symbol, are considered to be letters. A good practice followed by many Java programmers is to not use or in programmer-created identifiers. Identifiers are case sensitive, meaning upper and lower case letters differ. So numCats and NumCats are different. A reserved word is a word that is part of the language, like int, short, or double. A reserved word is also known as a keyword. A programmer cannot use a reserved word as an identifier. Many language editors will automatically color a program's reserved words. A list of reserved words appears at the end of this section. Check if the following identifiers are valid: c, cat, n1m1, short1, hello, 42c, hi there, and cat!
failedAnswered
10. drop 11. ounce 12. quart 13. tablet 14. three times a day 15. four times a day 16. before meals