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If the density of methane gas is 0.66kg/m3, then what is the density of methane in cm3?

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If the density of methane gas is 0.66kg/m3, then what is the density of methane in cm3?

Guest Mar 30, 2015

Best Answer

+26396

+10

If the density of methane gas is 0.66kg/m3, then what is the density of methane in cm3 ?

$0.66\ \dfrac{ \rm{kg} } { \rm{m^3} } \\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{m}\cdot\rm{m}\cdot\rm{m} } \\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{m}\cdot\rm{m}\cdot\rm{m} } \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }} \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }} \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }}\\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{\not{m}}\cdot\rm{\not{m}}\cdot\rm{\not{m}} } \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}} \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}} \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}}\\\\ =0.66\ \dfrac{ \rm{kg} } { 100\ \rm{cm } \cdot 100\ \rm{cm} \cdot 100\ \rm{cm} } \\\\ =0.66\ \dfrac{ \rm{kg} } { 100\cdot 100\cdot 100\cdot \rm{cm}\cdot \rm{cm}\cdot \rm{cm}} \\\\ =0.66\ \dfrac{ \rm{kg} } { 100\cdot 100\cdot 100\cdot \rm{cm^3}} \\\\ =\dfrac{0.66\ }{100\cdot 100\cdot 100}\cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =\dfrac{0.66\ }{10^2\cdot 10^2\cdot 10^2}\cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =\dfrac{0.66\ }{ 10^6 } \cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =0.66\cdot 10^{-6} \cdot \dfrac{ \rm{kg} } { \rm{cm^3}}$

$\\=6.6 \cdot 10^{-1} \cdot 10^{-6} \cdot \dfrac{ \rm{kg} } { \rm{cm^3} }\\\\ =6.6 \cdot 10^{-7}\cdot \dfrac{ \rm{kg} } { \rm{cm^3} }\\\\$

heureka Mar 30, 2015

3⁺⁰ Answers

+33654

+5

Presumably you mean what is the density in gm/cm³

0.66kg/m³ = 0.66*1000gm/(100cm)³= 0.00066 gm/cm³

.

Alan Mar 30, 2015

+10

To convert from ${\frac{{\mathtt{1}}}{{{\mathtt{m}}}^{{\mathtt{3}}}}}$ to ${\frac{{\mathtt{1}}}{{{\mathtt{cm}}}^{{\mathtt{3}}}}}$ you calculate ${\frac{{\mathtt{1}}}{{{\mathtt{m}}}^{{\mathtt{3}}}}} = {\frac{{{\mathtt{m}}}^{{\mathtt{3}}}}{\left({\mathtt{100}}{cm}{\mathtt{\,\times\,}}{\mathtt{100}}{cm}{\mathtt{\,\times\,}}{\mathtt{100}}{cm}\right)}} = {\frac{{{\mathtt{m}}}^{{\mathtt{3}}}}{\left({\mathtt{1\,000\,000}}\left[{{cm}}^{{\mathtt{3}}}\right]\right)}}$ .

So to solve your equation you devide by ${\mathtt{1\,000\,000}}\left[{{cm}}^{{\mathtt{3}}}\right]$ .

${\frac{{\mathtt{0.66}}{kg}}{\left({{\mathtt{m}}}^{{\mathtt{3}}}\right)}}{\mathtt{\,\times\,}}\left({\frac{{{\mathtt{m}}}^{{\mathtt{3}}}}{{\mathtt{1\,000\,000}}\left[{{cm}}^{{\mathtt{3}}}\right]}}\right) = {\frac{{\mathtt{0.66}}{kg}}{\left({\mathtt{1\,000\,000}}\left[{{cm}}^{{\mathtt{3}}}\right]\right)}} = {\mathtt{6.6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left(-{\mathtt{7}}\right)}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{kg}}}{\left({{\mathtt{cm}}}^{{\mathtt{3}}}\right)}}\right)$

The result is ${\mathtt{6.6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{\left(-{\mathtt{7}}\right)}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{kg}}}{{{\mathtt{cm}}}^{{\mathtt{3}}}}}\right)$

Guest Mar 30, 2015

+26396

+10

Best Answer

If the density of methane gas is 0.66kg/m3, then what is the density of methane in cm3 ?

$0.66\ \dfrac{ \rm{kg} } { \rm{m^3} } \\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{m}\cdot\rm{m}\cdot\rm{m} } \\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{m}\cdot\rm{m}\cdot\rm{m} } \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }} \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }} \cdot \dfrac{ 1\ \rm{m} }{ 100\ \rm{cm }}\\\\ =0.66\ \dfrac{ \rm{kg} } { \rm{\not{m}}\cdot\rm{\not{m}}\cdot\rm{\not{m}} } \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}} \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}} \cdot \dfrac{ 1\ \rm{\not{m}} }{ 100\ \rm{cm}}\\\\ =0.66\ \dfrac{ \rm{kg} } { 100\ \rm{cm } \cdot 100\ \rm{cm} \cdot 100\ \rm{cm} } \\\\ =0.66\ \dfrac{ \rm{kg} } { 100\cdot 100\cdot 100\cdot \rm{cm}\cdot \rm{cm}\cdot \rm{cm}} \\\\ =0.66\ \dfrac{ \rm{kg} } { 100\cdot 100\cdot 100\cdot \rm{cm^3}} \\\\ =\dfrac{0.66\ }{100\cdot 100\cdot 100}\cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =\dfrac{0.66\ }{10^2\cdot 10^2\cdot 10^2}\cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =\dfrac{0.66\ }{ 10^6 } \cdot \dfrac{ \rm{kg} } { \rm{cm^3}} \\\\ =0.66\cdot 10^{-6} \cdot \dfrac{ \rm{kg} } { \rm{cm^3}}$

$\\=6.6 \cdot 10^{-1} \cdot 10^{-6} \cdot \dfrac{ \rm{kg} } { \rm{cm^3} }\\\\ =6.6 \cdot 10^{-7}\cdot \dfrac{ \rm{kg} } { \rm{cm^3} }\\\\$

heureka Mar 30, 2015

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