Question

ibu mencampur 2 kg air yang suhunya 100°C dengan 5 kg air yang suhunya 30°C. Jika kalo air 4200 J/kg°C, berapa suhu akhir campuran?​

Answer 1

Verified answer

Penjelasan:

[tex] \text{Q}_ \text{lepas} \: = \: \text{Q}_ \text{terima}[/tex]

[tex] \small\text{m}_1. \text{c}.( \text{T} _{1} - \text{T}_{c}) = \text{m}_{2}. \text{c}.(\text{T}_{c} - \text{T}_{2})[/tex]

[tex] \small{2·4.200·(100 - \text{T}_{c}) = 5·4.200·(\text{T}_{c} - 30)}[/tex]

[tex] \small{8.400·(100 - \text{T}_{c}) = 21.000·(\text{T}_{c} - 30)}[/tex]

[tex] \small{840.000 - 8.400\text{T}_{c} = 21.000\text{T}_{c} - 630.000}[/tex]

[tex] \small{21.000\text{T}_{c} + 8.400\text{T}_{c} = 840.000 + 630.000}[/tex]

[tex]29.400\text{T}_{c} = 1.470.000[/tex]

[tex]\text{T}_{c} = \frac{1.470.000}{29.400} [/tex]

[tex] \text{t} _{c} = \bold{50°C}[/tex]