contestada

What is the temperature change in 355 mL of water upon absorption of 34 kJ of heat? (The specific heat capacity of water is 4.184 J/(g⋅∘C).)

Respuesta :

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The temperature change is 23 °C.

q = mCΔT

ΔT = q/(mC)

m = 355 g

∴ ΔT = (34 000 J)/(355 g × 4.184 J·°C⁻¹g⁻¹) = 23 °C

Note: The answer can have only two significant figures because that is all you gave for the amount of heat absorbed.

Answer : The change in temperature will be, [tex]22.89^oC[/tex]

Explanation :

First we have to determine the mass of water.

[tex]Density=\frac{Mass}{Volume}[/tex]

Given :

Density of water = 1 g/mL

Volume of water = 355 mL

[tex]1.00g/mL=\frac{Mass}{355mL}[/tex]

[tex]Mass=355g[/tex]

Now we have to determine the change in temperature.

Formula used :

[tex]Q=m\times c\times \Delta T[/tex]

where,

Q = heat absorb = 34 kJ = 34000 J        (1 kJ = 1000 J)

m = mass of water = 355 g

c = specific heat of water = [tex]4.184J/g^oC[/tex]

[tex]\Delta T[/tex] = change in temperature = ?

Now put all the given value in the above formula, we get:

[tex]34000J=355g\times 4.184J/g^oC\times \Delta T[/tex]

[tex]\Delta T=22.89^oC[/tex]

Therefore, the change in temperature will be, [tex]22.89^oC[/tex]