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947 J of energy is required to raise the temperature of 125 g of stainless steel by 15.7°C - VCE - SSCE Chemistry - Question 1 - 2003 - Paper 1

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947 J of energy is required to raise the temperature of 125 g of stainless steel by 15.7°C. The specific heat capacity of the stainless steel, in J g⁻¹ °C⁻¹, is A. 8... show full transcript

Worked Solution & Example Answer:947 J of energy is required to raise the temperature of 125 g of stainless steel by 15.7°C - VCE - SSCE Chemistry - Question 1 - 2003 - Paper 1

Step 1

Calculate Specific Heat Capacity

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Answer

To find the specific heat capacity (c), we can use the formula:

c=QmΔTc = \frac{Q}{m \Delta T}

Where:

  • QQ = Energy supplied = 947 J
  • mm = Mass of the substance = 125 g
  • ΔT\Delta T = Change in temperature = 15.7°C

Now, substituting the values into the formula:

c=947 J125 g×15.7°Cc = \frac{947 \text{ J}}{125 \text{ g} \times 15.7 \text{°C}}

Calculating the denominator:

125×15.7=1962.5125 \times 15.7 = 1962.5

Now, substituting back:

c=9471962.50.483J g1°C1c = \frac{947}{1962.5} \approx 0.483 \, \text{J g}^{-1} \, \text{°C}^{-1}

Thus, the specific heat capacity of stainless steel is approximately 0.483 J g⁻¹ °C⁻¹, which corresponds to option B.

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