The temperature of the Sun's corona (the outermost gas layer) is (1.0 times 10^{6} mathrm{~K}), and this

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The temperature of the Sun's corona (the outermost gas layer) is \(1.0 \times 10^{6} \mathrm{~K}\), and this layer is just above the photosphere layer, which has a radius of \(6.96 \times 10^{8} \mathrm{~m}\). The mass of the Sun is \(1.99 \times 10^{30} \mathrm{~kg}\). Is the rootmean-square speed of helium atoms in the corona great enough to allow the atoms to escape from the Sun's gravitational pull? The mass of a helium atom is \(6.646 \times 10^{-27} \mathrm{~kg}\).

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