What amount of heat is required to increase the temperature of 75. 0 grams of gold from 150°C to 250°C? The specific heat of gold is 0. 13 J/g°C. A. 750 joules B. 980 joules C. 1300 joules D. 1500 joules E. 2500 joules.

Respuesta :

975 J of heat energy is needed to increase the temperature from 150°C to  250°C of given mass of gold.

From specific heat formula,

[tex]Q = mc \Delta T[/tex]

Where,

[tex]Q[/tex] - Heat absorbed

[tex]m[/tex] - mass of  gold = 75. 0 g

[tex]c[/tex] - specific heat of gold = 0. 13 J/g°C

[tex]\Delta T[/tex]- temperature difference =  150°C -  250°C = 100°C

Put the values in the formula,

[tex]Q = 75\times 0.13 \times 100 }\\\\Q = 975 {\rm \ J}[/tex]

Therefore, 975 J of heat energy is needed to increase the temperature of given mass of gold.

To know more about specific heat formula,

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The heat required to increase the temperature of the gold is 980 J

The correct answer to the question is Option B. 980 J

We'll begin by calculating the change in the temperature of the gold

  • Initial temperature (T₁) = 150 °C
  • Final temperature (T₂) = 250 °C
  • Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 250 – 150

ΔT = 100 °C

Finally, we shall determine the heat required.

  • Mass (M) = 75 g
  • Change in temperature (ΔT) = 100 °C
  • Specific heat capacity (C) = 0.13 J/gºC
  • Heat (Q) =?

Q = MCΔT

Q = 75 × 0.13 × 100

Q = 975 J

Q ≈ 980 J

The correct answer to the question is Option B. 980 J

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