the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Respuesta :

Given that the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius.

Let the batting conductivity in W/cm°c be x, then

[tex] \frac{x}{1cm} = \frac{0.03}{1m} \\ \\ = \frac{0.03}{100cm} =\frac{0.0003}{1cm}[/tex]

Therefore,
the batting conductivity in W/cm°c is 0.0003 W per cm per degree celcius.

We are given

a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius

so, thermal conductivity is

[tex]=0.03\frac{W}{m*c}[/tex]

while we want the batting thermal conductivity in  w/cm•c

The only difference is that metre and cm

so, we need to change metre into centimeter

we know

1m =100cm

so, we can write thermal conductivity as

[tex]=0.03\frac{W}{1m*c}[/tex]

we can replace 1m as 100cm

[tex]=0.03\frac{W}{100cm*c}[/tex]

now, we can simplify it

[tex]=0.0003\frac{W}{cm*c}[/tex]

so, thermal conductivity is

[tex]=0.0003\frac{W}{cm*c}[/tex]................Answer

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